Formal functions over Grassmannians
type: Item
instance of: scholarly article
title: Formal functions over Grassmannians
zbMATH Open document ID: 0532.14023
author: Ari Babakhanian
author: Heisuke Hironaka
published in: Illinois Journal of Mathematics
publication date: 1982-01-01T00:00:00Z
review text: The authors prove the following theorem: The field of formal-rational functions \(\hat K\) along a connected closed subscheme of positive dimension in a Grassmannian Grass(n,r) is exactly the field of rational functions on Grass(n,r). The proof uses a reduction to the special case of \({\mathbb{P}}^ 1\) in \({\mathbb{P}}^ n\) (where the result is known) and a lemma which states \(\Phi((X))\cap L(X)=\Phi(X)\) for fields \(\Phi\subset L\) and a finite set of indeterminates X.
Mathematics Subject Classification ID: 14M15
Mathematics Subject Classification ID: 14B20
zbMATH DE Number: 3843911
zbMATH Keywords: formal-rational functions
zbMATH Keywords: Grassmannian
reviewed by: Bodo Pareigis
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3843911